219968000 has 160 divisors (see below), whose sum is σ = 628138368. Its totient is φ = 75264000.

The previous prime is 219967973. The next prime is 219968027. The reversal of 219968000 is 869912.

It is an interprime number because it is at equal distance from previous prime (219967973) and next prime (219968027).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447755 + ... + 448245.

Almost surely, 2^219968000 is an apocalyptic number.

219968000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314069184).

219968000 is an abundant number, since it is smaller than the sum of its proper divisors (408170368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219968000 is an frugal number, since it uses more digits than its factorization.

219968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 219968000 is about 14831.3182151824. The cubic root of 219968000 is about 603.6518028751.

The spelling of 219968000 in words is "two hundred nineteen million, nine hundred sixty-eight thousand".